olymmath

AT-OEMO-REG 2009 Problem 2

    How many integer solutions (x0(x_0 , x1x_1 , x2x_2 , x3x_3 , x4x_4 , x5x_5 , x6)x_6) does the equation 2x02+x12+x22+x32+x42+x52+x62=92x_0^2+x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2=9 have?

    Dataset text AI-MO AoPS. Quoted with source.

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